Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answers
Answer:
The first option.
Step-by-step explanation:
You take the major vertical length and put it into this equation:
2a = 16
a/2 = 16/2
a = 8
You do the same with the minor length.
2b = 10
b/2 = 10/2
b = 5
You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1
Related Questions
2x - y = 5
x + 3y = 7
What is the value of the system determinant?
A.) 5
B.) 6
C.) 7
Answers
9514 1404 393
Answer:
C) 7
Step-by-step explanation:
The determinant is the difference of the cross products of the coefficients.
D = (2)(3) -(1)(-1) = 6 +1 = 7
The system determinant is 7.
Answer:
C.) 7Step-by-step explanation:
#CarryOnLearningUse Euler's formula to find the missing number.
Vertices: 23
Edges: 39
Faces: ?
A. 12
B. 14
C. 16
D. 18
Answers
Answer: D. 18
Step-by-step explanation:
Euler's formula is Faces + Vertices = Edges + 2
Faces = Edges - vertices + 2
Faces = 39-23 + 2 = 18
Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.
What is Euler's Formula?Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.
The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,
F + V = E + 2
F + 23 = 39 + 2
F = 39 + 2 - 23
F = 18
Hence, the number of faces in the given object is 18.
Learn more about Euler's Formula here:
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2.) Write a verbal expression that
represents the algebraic expression.
m/12
Answers
Answer:
A number divided by twelve
Step-by-step explanation:
PLEASE HELP I WILL GIVE 50 POINTS! IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!!!
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Answers
Answer:
It looks like your first account increases linearly,
unless you have a typo and meant:
f(x) = 10,125(1.83)^x
the second
exponential and can be written as
g(r) = 9,638(1.95)^r
clearly g(r) has a higher percentage change since 1.95 > 1.83
a more interesting question might have been: When will the amount be the same?
10,125(1.83)^x = 9,638(1.95)^x
10,125(1.83)^x = 9,638(1.95)^x
(1.83)^x = .951901...(1.95)^x
take log of both sides and use log rules
xlog1.83 = log .951901... + log 1.95
x(log 1.83 - log 1.95) = log .951901...
x = .776..
check:
f(.776..) = 10,125(1.83)^.776.. = 1618410
g(.776..) = 9,638(1.95)^.776... = 16184.10
Step-by-step explanation:
8. In Jack's class, 18 of the students are tall and 10 ere short in Michael
class, 54, students are tall and 30 are short which class has a
higher ratio of tall to short students.
Answers
Answer:
both class have the same ratio
Step-by-step explanation:
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
Pls helpppppppppppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation: i did the test
Which equation matches the tape diagram shown?
Answers
please help me with this equation
Answers
Answer: [tex]\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]
Step-by-step explanation:
Given
Expression is [tex]\left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0[/tex]
using the Exponent property that is
[tex][(a)^b]^c=a^{b\cdot c}\\a^x\cdot a^y=a^{x+y}[/tex]
Applying the above property
[tex]\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2}y^{-6}z^{4}\cdot x^{-3}y^4z^0\\\\\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2-3}y^{-6+4}z^{4+0}\\\Rightarrow 4^{-2}x^{-5}y^{-2}z^{4}=\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]
How do i write 25.4 million
Answers
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
x=0,100,200,300, y=3.5,38.5 73.5, 108.5
Answers
Answer:
3.573 ⋅ 0.5108 ⋅ 0.5
Step-by-step explanation:
will mark brainliest please help
Answers
Please mark BRAINLIEST!
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)
Answers
Answer:
[tex]A.[/tex]
[tex]Domain = \{-6,-4,0\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
Required
The domain
A function is represented as:
[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]
Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]
So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
The domain is:
[tex]Domain = \{-6,-4,0\}[/tex]
Find the value of x. Write your answer as a decimal.
Answers
Answer:
40.5
Step-by-step explanation:
x= ½(122-41)=½(81)= 40.5°
PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.
a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.
4200+x≤8500
x−4200≤8500
8500≥4200−x
8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.
You can haul at most
cubic yards of sand.
Answers
Answer:
a) 4200+x≤8500
_____________
x ≤ 4300
________________
b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.
__________________
4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875
Select the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3
Answers
Answer:
A
Step-by-step explanation:
nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss
Help!!
Find the area of the shaded region. Round to the nearest hundredth where
necessary. Show work
Answers
Answer:
look at the picture i have sent
The area of the shaded region is 192.325 m².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Outer radius = 21/2 = 10.5 m
Inner radius = 10.5 - 3.5 = 7 m
So, Area of shaded region
= π( R² - r²)
= 3.14 (10.5² - 7²)
= 3.14 (110.25 - 49)
= 192.325 m²
Learn more about Area here:
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These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
Answers
Answer:
point A
because negstives go to the left so find -7 to the left abd its at point A
Answer:point a
Step-by-step explanation:It is point A because it is 2 points ahead of 5
What is the parallel slope
Answers
Answer:hv
Step-by-step explanation:
Nafeli is taking a multiple-choice exam with 10 questions and 3 choices per question. For eachquestion, there are two equally likely possibilities, independent of other questions. In the firstpossibility, she knows the answer, in which case she answers the question correctly. In the secondpossibility, she guesses the answer with probability of success 1/3.1. Given that Nafeli answered correctly the first question, what is the probability that she knewthe answer to that question
Answers
Answer:
0.75 = 75% probability that she knewthe answer to that question
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Answered correctly.
Event B: Knew the answer.
Probability of answering correctly:
0.5(knows the answer)
1/3 of 1 - 0.5 = 0.5(didn't know but guessed correctly). So
[tex]P(A) = 0.5 + 0.5\frac{1}{3} = 0.6667[/tex]
Probability of answering correctly and knowing the answer:
0.5, which means that [tex]P(A \cap B) = 0.5[/tex].
What is the probability that she knew the answer to that question?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.6667} = 0.75[/tex]
0.75 = 75% probability that she knewthe answer to that question
Find GH. Round to the nearest hundredth
Answers
Answer:
B
Step-by-step explanation:
32.08.
ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi
Answer:
bit.^{} ly/3gVQKw3
Step-by-step explanation:
bit.^{} ly/3gVQKw3
Tyler has 240 cards in a collection. Of all of the cards, 1/3 are baseball cards, 1/6 are basketball cards, and 1/4 are football cards. The rest are hockey cards. How many of the cards are hockey cards?
Answers
Answer:
There are 60 hockey cards (1/4 of 240)
Step-by-step explanation:
1/3 of 240 is 80
1/6 of 240 is 40
1/4 of 240 is 60
80+40+60 = 180
240 - 180 = 60
Derek conducts a probability experiment for his mathematics class. he uses the ten cards shown below.
Derek randomly picks one of the ten cards from a container, looks at the color, and replaces the card. he repeats this 100 times. how many times would you expect derek to pick up a white card.
Answers
Answer:
24 times he could pick a White car
Step-by-step explanation:
Please help I am so confused
Answers
Answer:
24 bottles per minute.
Step-by-step explanation:
We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.
True or False: A square is a specific type of parallelogram?
Answers
One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?
Answers
Answer:
32
Step-by-step explanation:
so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.
Zayan is putting ribbon around a picture of her dog. The picture is 300 millimeters wide and 150 millimeters tall. How many meters of ribbon will she need?
Answers
Answer:
150mm*300mm is equal to 45000mm and 1m is equal to 1000mm therefore 45000mm/1000 is equal to 45m
Step-by-step explanation:
she need 45 m ribbon to put around dog picture
What is the median Value of the data sat shown on the line plot?
Answers
Answer:
6 is the median of the data set.
Step-by-step explanation:
First, write all the numbers out.
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
Next, highlight the one that is in the middle.
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
If you have an even amount of numbers, or two numbers in the middle you have to find the mean between those numbers but because they are both 6 the median is still 6.
Have a wonderful day! :)
please solve it CORRECTLY step by step asap
Answers
Answer:
[tex]Product = \frac{3}{5}ab[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{7}a[/tex]
[tex]-\frac{21}{15}b[/tex]
Required
The product
The product is:
[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'
Cancel out the negative signs
[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]
Simplify fractions
[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]
[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]
[tex]Product = \frac{3}{5}ab[/tex]
Find the slope
15) (7,5), (13, 11)
A) -5
B) 5
C) -1
D) 1
Answers
Answer:
1
Step-by-step explanation:
when finding slope you use the formula
y2-y1 so you do 11 minus 5 which gets
____ you 6, over 13 minus 7 which
x2-x1 also gets you 6! So 6/6=1 which
means the slope should be 1. again im sorry if im wrong but I hope I could help TT